No black hole information puzzle in a relational universe

TL;DR

This paper demonstrates that in a relational quantum gravity framework, the natural decoherence process outpaces black hole evaporation effects, effectively resolving the black hole information paradox.

Contribution

It introduces a concrete implementation showing that relational time causes rapid decoherence, making the black hole information puzzle unobservable.

Findings

Pure states evolve into mixed states faster than black hole evaporation.

Decoherence due to relational time surpasses black hole information loss.

Black hole information paradox becomes practically unobservable.

Abstract

The introduction of a relational time in quantum gravity naturally implies that pure quantum states evolve into mixed quantum states. We show, using a recently proposed concrete implementation, that the rate at which pure states naturally evolve into mixed ones is faster than that due to collapsing into a black hole that later evaporates. This is rather remarkable since the fundamental mechanism for decoherence is usually very weak. Therefore the ``black hole information puzzle'' is rendered de-facto unobservable.